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Simplifying (t + 1) * dx = 2xdt Reorder the terms: (1 + t) * dx = 2xdt Reorder the terms for easier multiplication: dx(1 + t) = 2xdt (1 * dx + t * dx) = 2xdt Reorder the terms: (dtx + 1dx) = 2xdt (dtx + 1dx) = 2xdt Solving dtx + 1dx = 2dtx Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2dtx' to each side of the equation. dtx + -2dtx + 1dx = 2dtx + -2dtx Combine like terms: dtx + -2dtx = -1dtx -1dtx + 1dx = 2dtx + -2dtx Combine like terms: 2dtx + -2dtx = 0 -1dtx + 1dx = 0 Factor out the Greatest Common Factor (GCF), 'dx'. dx(-1t + 1) = 0Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1t + 1)' equal to zero and attempt to solve: Simplifying -1t + 1 = 0 Reorder the terms: 1 + -1t = 0 Solving 1 + -1t = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1t = 0 + -1 -1t = 0 + -1 Combine like terms: 0 + -1 = -1 -1t = -1 Add 't' to each side of the equation. -1t + t = -1 + t Combine like terms: -1t + t = 0 0 = -1 + t Simplifying 0 = -1 + t The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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